category_theory.monoidal.natural_transformation

Changes since the initial port

The following section lists changes to this file in mathlib3 and mathlib4 that occured after the initial port. Most recent changes are shown first. Hovering over a commit will show all commits associated with the same mathlib3 commit.

Changes in mathlib3

d047eb46

(last sync)

Changes in mathlib3port

mathlib3

mathlib3port

cb3ceec8

bump to nightly-2024-04-14-09

mathlib commit https://github.com/leanprover-community/mathlib/commit/65a1391a0106c9204fe45bc73a039f056558cb83

f736ea6b

Diff

@@ -211,7 +211,7 @@ noncomputable section
 #print CategoryTheory.monoidalUnit /-
 /-- The unit of a monoidal equivalence can be upgraded to a monoidal natural transformation. -/
 @[simps]
-def monoidalUnit (F : MonoidalFunctor C D) [IsEquivalence F.toFunctor] :
+def monoidalUnit (F : MonoidalFunctor C D) [CategoryTheory.Functor.IsEquivalence F.toFunctor] :
     LaxMonoidalFunctor.id C ⟶ F.toLaxMonoidalFunctor ⊗⋙ (monoidalInverse F).toLaxMonoidalFunctor :=
   let e := F.toFunctor.asEquivalence
   { toNatTrans := e.Unit
@@ -224,7 +224,7 @@ def monoidalUnit (F : MonoidalFunctor C D) [IsEquivalence F.toFunctor] :
       simp only [← functor.map_comp]
       erw [e.counit_app_functor, e.counit_app_functor, F.to_lax_monoidal_functor.μ_natural,
         is_iso.inv_hom_id_assoc]
-      simp only [CategoryTheory.IsEquivalence.inv_fun_map]
+      simp only [CategoryTheory.Functor.IsEquivalence.inv_fun_map]
       slice_rhs 2 3 => erw [iso.hom_inv_id_app]
       dsimp
       simp only [CategoryTheory.Category.id_comp]
@@ -236,7 +236,8 @@ def monoidalUnit (F : MonoidalFunctor C D) [IsEquivalence F.toFunctor] :
 #align category_theory.monoidal_unit CategoryTheory.monoidalUnit
 -/
 
-instance (F : MonoidalFunctor C D) [IsEquivalence F.toFunctor] : IsIso (monoidalUnit F) :=
+instance (F : MonoidalFunctor C D) [CategoryTheory.Functor.IsEquivalence F.toFunctor] :
+    IsIso (monoidalUnit F) :=
   haveI : ∀ X : C, is_iso ((monoidal_unit F).toNatTrans.app X) := by intros; dsimp; infer_instance
   monoidal_nat_iso.is_iso_of_is_iso_app _
 
@@ -244,7 +245,7 @@ instance (F : MonoidalFunctor C D) [IsEquivalence F.toFunctor] : IsIso (monoidal
 #print CategoryTheory.monoidalCounit /-
 /-- The counit of a monoidal equivalence can be upgraded to a monoidal natural transformation. -/
 @[simps]
-def monoidalCounit (F : MonoidalFunctor C D) [IsEquivalence F.toFunctor] :
+def monoidalCounit (F : MonoidalFunctor C D) [CategoryTheory.Functor.IsEquivalence F.toFunctor] :
     (monoidalInverse F).toLaxMonoidalFunctor ⊗⋙ F.toLaxMonoidalFunctor ⟶ LaxMonoidalFunctor.id D :=
   let e := F.toFunctor.asEquivalence
   { toNatTrans := e.counit
@@ -272,7 +273,8 @@ def monoidalCounit (F : MonoidalFunctor C D) [IsEquivalence F.toFunctor] :
 #align category_theory.monoidal_counit CategoryTheory.monoidalCounit
 -/
 
-instance (F : MonoidalFunctor C D) [IsEquivalence F.toFunctor] : IsIso (monoidalCounit F) :=
+instance (F : MonoidalFunctor C D) [CategoryTheory.Functor.IsEquivalence F.toFunctor] :
+    IsIso (monoidalCounit F) :=
   haveI : ∀ X : D, is_iso ((monoidal_counit F).toNatTrans.app X) := by intros; dsimp; infer_instance
   monoidal_nat_iso.is_iso_of_is_iso_app _

cb3ceec8

bump to nightly-2023-09-24-06

mathlib commit https://github.com/leanprover-community/mathlib/commit/ce64cd319bb6b3e82f31c2d38e79080d377be451

5655435f

Diff

@@ -3,8 +3,8 @@ Copyright (c) 2020 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
 -/
-import Mathbin.CategoryTheory.Monoidal.Functor
-import Mathbin.CategoryTheory.FullSubcategory
+import CategoryTheory.Monoidal.Functor
+import CategoryTheory.FullSubcategory
 
 #align_import category_theory.monoidal.natural_transformation from "leanprover-community/mathlib"@"cb3ceec8485239a61ed51d944cb9a95b68c6bafc"

cb3ceec8

bump to nightly-2023-09-06-06

mathlib commit https://github.com/leanprover-community/mathlib/commit/442a83d738cb208d3600056c489be16900ba701d

f3106448

Diff

@@ -53,12 +53,8 @@ structure MonoidalNatTrans (F G : LaxMonoidalFunctor C D) extends
 #align category_theory.monoidal_nat_trans CategoryTheory.MonoidalNatTrans
 -/
 
-restate_axiom monoidal_nat_trans.tensor'
-
 attribute [simp, reassoc] monoidal_nat_trans.tensor
 
-restate_axiom monoidal_nat_trans.unit'
-
 attribute [simp, reassoc] monoidal_nat_trans.unit
 
 namespace MonoidalNatTrans

cb3ceec8

bump to nightly-2023-07-20-09

mathlib commit https://github.com/leanprover-community/mathlib/commit/8ea5598db6caeddde6cb734aa179cc2408dbd345

9c56d0dd

Diff

@@ -2,15 +2,12 @@
 Copyright (c) 2020 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
-
-! This file was ported from Lean 3 source module category_theory.monoidal.natural_transformation
-! leanprover-community/mathlib commit cb3ceec8485239a61ed51d944cb9a95b68c6bafc
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.CategoryTheory.Monoidal.Functor
 import Mathbin.CategoryTheory.FullSubcategory
 
+#align_import category_theory.monoidal.natural_transformation from "leanprover-community/mathlib"@"cb3ceec8485239a61ed51d944cb9a95b68c6bafc"
+
 /-!
 # Monoidal natural transformations

cb3ceec8

bump to nightly-2023-06-13-21

mathlib commit https://github.com/leanprover-community/mathlib/commit/9fb8964792b4237dac6200193a0d533f1b3f7423

829520ac

Diff

@@ -164,6 +164,7 @@ variable {F G : LaxMonoidalFunctor C D}
 
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
+#print CategoryTheory.MonoidalNatIso.ofComponents /-
 /-- Construct a monoidal natural isomorphism from object level isomorphisms,
 and the monoidal naturality in the forward direction.
 -/
@@ -184,23 +185,30 @@ def ofComponents (app : ∀ X : C, F.obj X ≅ G.obj X)
         rw [iso.comp_inv_eq, assoc, tensor, ← tensor_comp_assoc, iso.inv_hom_id, iso.inv_hom_id,
           tensor_id, id_comp] }
 #align category_theory.monoidal_nat_iso.of_components CategoryTheory.MonoidalNatIso.ofComponents
+-/
 
+#print CategoryTheory.MonoidalNatIso.ofComponents.hom_app /-
 @[simp]
 theorem ofComponents.hom_app (app : ∀ X : C, F.obj X ≅ G.obj X) (naturality) (unit) (tensor) (X) :
     (ofComponents app naturality Unit tensor).Hom.app X = (app X).Hom :=
   rfl
 #align category_theory.monoidal_nat_iso.of_components.hom_app CategoryTheory.MonoidalNatIso.ofComponents.hom_app
+-/
 
+#print CategoryTheory.MonoidalNatIso.ofComponents.inv_app /-
 @[simp]
 theorem ofComponents.inv_app (app : ∀ X : C, F.obj X ≅ G.obj X) (naturality) (unit) (tensor) (X) :
     (ofComponents app naturality Unit tensor).inv.app X = (app X).inv := by simp [of_components]
 #align category_theory.monoidal_nat_iso.of_components.inv_app CategoryTheory.MonoidalNatIso.ofComponents.inv_app
+-/
 
+#print CategoryTheory.MonoidalNatIso.isIso_of_isIso_app /-
 instance isIso_of_isIso_app (α : F ⟶ G) [∀ X : C, IsIso (α.app X)] : IsIso α :=
   ⟨(IsIso.of_iso
         (ofComponents (fun X => asIso (α.app X)) (fun X Y f => α.toNatTrans.naturality f) α.Unit
           α.tensor)).1⟩
 #align category_theory.monoidal_nat_iso.is_iso_of_is_iso_app CategoryTheory.MonoidalNatIso.isIso_of_isIso_app
+-/
 
 end MonoidalNatIso

cb3ceec8

bump to nightly-2023-06-01-16

mathlib commit https://github.com/leanprover-community/mathlib/commit/cca40788df1b8755d5baf17ab2f27dacc2e17acb

b9c87c70

Diff

@@ -50,7 +50,7 @@ additionally satisfying:
 -/
 @[ext]
 structure MonoidalNatTrans (F G : LaxMonoidalFunctor C D) extends
-  NatTrans F.toFunctor G.toFunctor where
+    NatTrans F.toFunctor G.toFunctor where
   unit' : F.ε ≫ app (𝟙_ C) = G.ε := by obviously
   tensor' : ∀ X Y, F.μ _ _ ≫ app (X ⊗ Y) = (app X ⊗ app Y) ≫ G.μ _ _ := by obviously
 #align category_theory.monoidal_nat_trans CategoryTheory.MonoidalNatTrans
@@ -236,7 +236,7 @@ def monoidalUnit (F : MonoidalFunctor C D) [IsEquivalence F.toFunctor] :
 -/
 
 instance (F : MonoidalFunctor C D) [IsEquivalence F.toFunctor] : IsIso (monoidalUnit F) :=
-  haveI : ∀ X : C, is_iso ((monoidal_unit F).toNatTrans.app X) := by intros ; dsimp; infer_instance
+  haveI : ∀ X : C, is_iso ((monoidal_unit F).toNatTrans.app X) := by intros; dsimp; infer_instance
   monoidal_nat_iso.is_iso_of_is_iso_app _
 
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
@@ -272,8 +272,7 @@ def monoidalCounit (F : MonoidalFunctor C D) [IsEquivalence F.toFunctor] :
 -/
 
 instance (F : MonoidalFunctor C D) [IsEquivalence F.toFunctor] : IsIso (monoidalCounit F) :=
-  haveI : ∀ X : D, is_iso ((monoidal_counit F).toNatTrans.app X) := by intros ; dsimp;
-    infer_instance
+  haveI : ∀ X : D, is_iso ((monoidal_counit F).toNatTrans.app X) := by intros; dsimp; infer_instance
   monoidal_nat_iso.is_iso_of_is_iso_app _
 
 end CategoryTheory

cb3ceec8

bump to nightly-2023-05-28-06

mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb

ba5d8b97

Diff

@@ -162,9 +162,6 @@ namespace MonoidalNatIso
 
 variable {F G : LaxMonoidalFunctor C D}
 
-/- warning: category_theory.monoidal_nat_iso.of_components -> CategoryTheory.MonoidalNatIso.ofComponents is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.monoidal_nat_iso.of_components CategoryTheory.MonoidalNatIso.ofComponentsₓ'. -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 /-- Construct a monoidal natural isomorphism from object level isomorphisms,
@@ -188,29 +185,17 @@ def ofComponents (app : ∀ X : C, F.obj X ≅ G.obj X)
           tensor_id, id_comp] }
 #align category_theory.monoidal_nat_iso.of_components CategoryTheory.MonoidalNatIso.ofComponents
 
-/- warning: category_theory.monoidal_nat_iso.of_components.hom_app -> CategoryTheory.MonoidalNatIso.ofComponents.hom_app is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.monoidal_nat_iso.of_components.hom_app CategoryTheory.MonoidalNatIso.ofComponents.hom_appₓ'. -/
 @[simp]
 theorem ofComponents.hom_app (app : ∀ X : C, F.obj X ≅ G.obj X) (naturality) (unit) (tensor) (X) :
     (ofComponents app naturality Unit tensor).Hom.app X = (app X).Hom :=
   rfl
 #align category_theory.monoidal_nat_iso.of_components.hom_app CategoryTheory.MonoidalNatIso.ofComponents.hom_app
 
-/- warning: category_theory.monoidal_nat_iso.of_components.inv_app -> CategoryTheory.MonoidalNatIso.ofComponents.inv_app is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.monoidal_nat_iso.of_components.inv_app CategoryTheory.MonoidalNatIso.ofComponents.inv_appₓ'. -/
 @[simp]
 theorem ofComponents.inv_app (app : ∀ X : C, F.obj X ≅ G.obj X) (naturality) (unit) (tensor) (X) :
     (ofComponents app naturality Unit tensor).inv.app X = (app X).inv := by simp [of_components]
 #align category_theory.monoidal_nat_iso.of_components.inv_app CategoryTheory.MonoidalNatIso.ofComponents.inv_app
 
-/- warning: category_theory.monoidal_nat_iso.is_iso_of_is_iso_app -> CategoryTheory.MonoidalNatIso.isIso_of_isIso_app is a dubious translation:
-lean 3 declaration is
-  forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u1, u3} C] [_inst_2 : CategoryTheory.MonoidalCategory.{u1, u3} C _inst_1] {D : Type.{u4}} [_inst_3 : CategoryTheory.Category.{u2, u4} D] [_inst_4 : CategoryTheory.MonoidalCategory.{u2, u4} D _inst_3] {F : CategoryTheory.LaxMonoidalFunctor.{u1, u2, u3, u4} C _inst_1 _inst_2 D _inst_3 _inst_4} {G : CategoryTheory.LaxMonoidalFunctor.{u1, u2, u3, u4} C _inst_1 _inst_2 D _inst_3 _inst_4} (α : Quiver.Hom.{succ (max u3 u2), max u3 u4 u1 u2} (CategoryTheory.LaxMonoidalFunctor.{u1, u2, u3, u4} C _inst_1 _inst_2 D _inst_3 _inst_4) (CategoryTheory.CategoryStruct.toQuiver.{max u3 u2, max u3 u4 u1 u2} (CategoryTheory.LaxMonoidalFunctor.{u1, u2, u3, u4} C _inst_1 _inst_2 D _inst_3 _inst_4) (CategoryTheory.Category.toCategoryStruct.{max u3 u2, max u3 u4 u1 u2} (CategoryTheory.LaxMonoidalFunctor.{u1, u2, u3, u4} C _inst_1 _inst_2 D _inst_3 _inst_4) (CategoryTheory.MonoidalNatTrans.categoryLaxMonoidalFunctor.{u1, u2, u3, u4} C _inst_1 _inst_2 D _inst_3 _inst_4))) F G) [_inst_5 : forall (X : C), CategoryTheory.IsIso.{u2, u4} D _inst_3 (CategoryTheory.Functor.obj.{u1, u2, u3, u4} C _inst_1 D _inst_3 (CategoryTheory.LaxMonoidalFunctor.toFunctor.{u1, u2, u3, u4} C _inst_1 _inst_2 D _inst_3 _inst_4 F) X) (CategoryTheory.Functor.obj.{u1, u2, u3, u4} C _inst_1 D _inst_3 (CategoryTheory.LaxMonoidalFunctor.toFunctor.{u1, u2, u3, u4} C _inst_1 _inst_2 D _inst_3 _inst_4 G) X) (CategoryTheory.NatTrans.app.{u1, u2, u3, u4} C _inst_1 D _inst_3 (CategoryTheory.LaxMonoidalFunctor.toFunctor.{u1, u2, u3, u4} C _inst_1 _inst_2 D _inst_3 _inst_4 F) (CategoryTheory.LaxMonoidalFunctor.toFunctor.{u1, u2, u3, u4} C _inst_1 _inst_2 D _inst_3 _inst_4 G) (CategoryTheory.MonoidalNatTrans.toNatTrans.{u1, u2, u3, u4} C _inst_1 _inst_2 D _inst_3 _inst_4 F G α) X)], CategoryTheory.IsIso.{max u3 u2, max u3 u4 u1 u2} (CategoryTheory.LaxMonoidalFunctor.{u1, u2, u3, u4} C _inst_1 _inst_2 D _inst_3 _inst_4) (CategoryTheory.MonoidalNatTrans.categoryLaxMonoidalFunctor.{u1, u2, u3, u4} C _inst_1 _inst_2 D _inst_3 _inst_4) F G α
-but is expected to have type
-  forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u1, u3} C] [_inst_2 : CategoryTheory.MonoidalCategory.{u1, u3} C _inst_1] {D : Type.{u4}} [_inst_3 : CategoryTheory.Category.{u2, u4} D] [_inst_4 : CategoryTheory.MonoidalCategory.{u2, u4} D _inst_3] {F : CategoryTheory.LaxMonoidalFunctor.{u1, u2, u3, u4} C _inst_1 _inst_2 D _inst_3 _inst_4} {G : CategoryTheory.LaxMonoidalFunctor.{u1, u2, u3, u4} C _inst_1 _inst_2 D _inst_3 _inst_4} (α : Quiver.Hom.{max (succ u3) (succ u2), max (max (max u3 u4) u1) u2} (CategoryTheory.LaxMonoidalFunctor.{u1, u2, u3, u4} C _inst_1 _inst_2 D _inst_3 _inst_4) (CategoryTheory.CategoryStruct.toQuiver.{max u3 u2, max (max (max u3 u4) u1) u2} (CategoryTheory.LaxMonoidalFunctor.{u1, u2, u3, u4} C _inst_1 _inst_2 D _inst_3 _inst_4) (CategoryTheory.Category.toCategoryStruct.{max u3 u2, max (max (max u3 u4) u1) u2} (CategoryTheory.LaxMonoidalFunctor.{u1, u2, u3, u4} C _inst_1 _inst_2 D _inst_3 _inst_4) (CategoryTheory.MonoidalNatTrans.categoryLaxMonoidalFunctor.{u1, u2, u3, u4} C _inst_1 _inst_2 D _inst_3 _inst_4))) F G) [_inst_5 : forall (X : C), CategoryTheory.IsIso.{u2, u4} D _inst_3 (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_3)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_3 (CategoryTheory.LaxMonoidalFunctor.toFunctor.{u1, u2, u3, u4} C _inst_1 _inst_2 D _inst_3 _inst_4 F)) X) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_3)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_3 (CategoryTheory.LaxMonoidalFunctor.toFunctor.{u1, u2, u3, u4} C _inst_1 _inst_2 D _inst_3 _inst_4 G)) X) (CategoryTheory.NatTrans.app.{u1, u2, u3, u4} C _inst_1 D _inst_3 (CategoryTheory.LaxMonoidalFunctor.toFunctor.{u1, u2, u3, u4} C _inst_1 _inst_2 D _inst_3 _inst_4 F) (CategoryTheory.LaxMonoidalFunctor.toFunctor.{u1, u2, u3, u4} C _inst_1 _inst_2 D _inst_3 _inst_4 G) (CategoryTheory.MonoidalNatTrans.toNatTrans.{u1, u2, u3, u4} C _inst_1 _inst_2 D _inst_3 _inst_4 F G α) X)], CategoryTheory.IsIso.{max u3 u2, max (max (max u3 u4) u1) u2} (CategoryTheory.LaxMonoidalFunctor.{u1, u2, u3, u4} C _inst_1 _inst_2 D _inst_3 _inst_4) (CategoryTheory.MonoidalNatTrans.categoryLaxMonoidalFunctor.{u1, u2, u3, u4} C _inst_1 _inst_2 D _inst_3 _inst_4) F G α
-Case conversion may be inaccurate. Consider using '#align category_theory.monoidal_nat_iso.is_iso_of_is_iso_app CategoryTheory.MonoidalNatIso.isIso_of_isIso_appₓ'. -/
 instance isIso_of_isIso_app (α : F ⟶ G) [∀ X : C, IsIso (α.app X)] : IsIso α :=
   ⟨(IsIso.of_iso
         (ofComponents (fun X => asIso (α.app X)) (fun X Y f => α.toNatTrans.naturality f) α.Unit

cb3ceec8

bump to nightly-2023-05-28-04

mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb

6797a637

Diff

@@ -181,9 +181,7 @@ def ofComponents (app : ∀ X : C, F.obj X ≅ G.obj X)
       (NatIso.ofComponents app
           @naturality).inv with
       app := fun X => (app X).inv
-      unit' := by
-        dsimp
-        rw [← Unit, assoc, iso.hom_inv_id, comp_id]
+      unit' := by dsimp; rw [← Unit, assoc, iso.hom_inv_id, comp_id]
       tensor' := fun X Y => by
         dsimp
         rw [iso.comp_inv_eq, assoc, tensor, ← tensor_comp_assoc, iso.inv_hom_id, iso.inv_hom_id,
@@ -253,11 +251,7 @@ def monoidalUnit (F : MonoidalFunctor C D) [IsEquivalence F.toFunctor] :
 -/
 
 instance (F : MonoidalFunctor C D) [IsEquivalence F.toFunctor] : IsIso (monoidalUnit F) :=
-  haveI : ∀ X : C, is_iso ((monoidal_unit F).toNatTrans.app X) :=
-    by
-    intros
-    dsimp
-    infer_instance
+  haveI : ∀ X : C, is_iso ((monoidal_unit F).toNatTrans.app X) := by intros ; dsimp; infer_instance
   monoidal_nat_iso.is_iso_of_is_iso_app _
 
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
@@ -293,10 +287,7 @@ def monoidalCounit (F : MonoidalFunctor C D) [IsEquivalence F.toFunctor] :
 -/
 
 instance (F : MonoidalFunctor C D) [IsEquivalence F.toFunctor] : IsIso (monoidalCounit F) :=
-  haveI : ∀ X : D, is_iso ((monoidal_counit F).toNatTrans.app X) :=
-    by
-    intros
-    dsimp
+  haveI : ∀ X : D, is_iso ((monoidal_counit F).toNatTrans.app X) := by intros ; dsimp;
     infer_instance
   monoidal_nat_iso.is_iso_of_is_iso_app _

cb3ceec8

bump to nightly-2023-05-28-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb

6c6011cf

Diff

@@ -163,10 +163,7 @@ namespace MonoidalNatIso
 variable {F G : LaxMonoidalFunctor C D}
 
 /- warning: category_theory.monoidal_nat_iso.of_components -> CategoryTheory.MonoidalNatIso.ofComponents is a dubious translation:
-lean 3 declaration is
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.monoidal_nat_iso.of_components CategoryTheory.MonoidalNatIso.ofComponentsₓ'. -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
@@ -194,10 +191,7 @@ def ofComponents (app : ∀ X : C, F.obj X ≅ G.obj X)
 #align category_theory.monoidal_nat_iso.of_components CategoryTheory.MonoidalNatIso.ofComponents
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.monoidal_nat_iso.of_components.hom_app CategoryTheory.MonoidalNatIso.ofComponents.hom_appₓ'. -/
 @[simp]
 theorem ofComponents.hom_app (app : ∀ X : C, F.obj X ≅ G.obj X) (naturality) (unit) (tensor) (X) :
@@ -206,10 +200,7 @@ theorem ofComponents.hom_app (app : ∀ X : C, F.obj X ≅ G.obj X) (naturality)
 #align category_theory.monoidal_nat_iso.of_components.hom_app CategoryTheory.MonoidalNatIso.ofComponents.hom_app
 
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 Case conversion may be inaccurate. Consider using '#align category_theory.monoidal_nat_iso.of_components.inv_app CategoryTheory.MonoidalNatIso.ofComponents.inv_appₓ'. -/
 @[simp]
 theorem ofComponents.inv_app (app : ∀ X : C, F.obj X ≅ G.obj X) (naturality) (unit) (tensor) (X) :

cb3ceec8

bump to nightly-2023-05-23-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/75e7fca56381d056096ce5d05e938f63a6567828

ed98987c

Diff

@@ -58,11 +58,11 @@ structure MonoidalNatTrans (F G : LaxMonoidalFunctor C D) extends
 
 restate_axiom monoidal_nat_trans.tensor'
 
-attribute [simp, reassoc.1] monoidal_nat_trans.tensor
+attribute [simp, reassoc] monoidal_nat_trans.tensor
 
 restate_axiom monoidal_nat_trans.unit'
 
-attribute [simp, reassoc.1] monoidal_nat_trans.unit
+attribute [simp, reassoc] monoidal_nat_trans.unit
 
 namespace MonoidalNatTrans

cb3ceec8

bump to nightly-2023-03-26-02

mathlib commit https://github.com/leanprover-community/mathlib/commit/55d771df074d0dd020139ee1cd4b95521422df9f

ca5de00c

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
 
 ! This file was ported from Lean 3 source module category_theory.monoidal.natural_transformation
-! leanprover-community/mathlib commit d047eb4671130d5998b185e49a0443a0d2e9b191
+! leanprover-community/mathlib commit cb3ceec8485239a61ed51d944cb9a95b68c6bafc
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -14,6 +14,9 @@ import Mathbin.CategoryTheory.FullSubcategory
 /-!
 # Monoidal natural transformations
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 Natural transformations between (lax) monoidal functors must satisfy
 an additional compatibility relation with the tensorators:
 `F.μ X Y ≫ app (X ⊗ Y) = (app X ⊗ app Y) ≫ G.μ X Y`.

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bump to nightly-2023-03-24-22

mathlib commit https://github.com/leanprover-community/mathlib/commit/b19481deb571022990f1baa9cbf9172e6757a479

6eace303

Diff

@@ -38,6 +38,7 @@ open MonoidalCategory
 variable {C : Type u₁} [Category.{v₁} C] [MonoidalCategory.{v₁} C] {D : Type u₂} [Category.{v₂} D]
   [MonoidalCategory.{v₂} D]
 
+#print CategoryTheory.MonoidalNatTrans /-
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 /-- A monoidal natural transformation is a natural transformation between (lax) monoidal functors
@@ -50,6 +51,7 @@ structure MonoidalNatTrans (F G : LaxMonoidalFunctor C D) extends
   unit' : F.ε ≫ app (𝟙_ C) = G.ε := by obviously
   tensor' : ∀ X Y, F.μ _ _ ≫ app (X ⊗ Y) = (app X ⊗ app Y) ≫ G.μ _ _ := by obviously
 #align category_theory.monoidal_nat_trans CategoryTheory.MonoidalNatTrans
+-/
 
 restate_axiom monoidal_nat_trans.tensor'
 
@@ -61,16 +63,19 @@ attribute [simp, reassoc.1] monoidal_nat_trans.unit
 
 namespace MonoidalNatTrans
 
+#print CategoryTheory.MonoidalNatTrans.id /-
 /-- The identity monoidal natural transformation.
 -/
 @[simps]
 def id (F : LaxMonoidalFunctor C D) : MonoidalNatTrans F F :=
   { 𝟙 F.toFunctor with }
 #align category_theory.monoidal_nat_trans.id CategoryTheory.MonoidalNatTrans.id
+-/
 
 instance (F : LaxMonoidalFunctor C D) : Inhabited (MonoidalNatTrans F F) :=
   ⟨id F⟩
 
+#print CategoryTheory.MonoidalNatTrans.vcomp /-
 /-- Vertical composition of monoidal natural transformations.
 -/
 @[simps]
@@ -78,34 +83,44 @@ def vcomp {F G H : LaxMonoidalFunctor C D} (α : MonoidalNatTrans F G) (β : Mon
     MonoidalNatTrans F H :=
   { NatTrans.vcomp α.toNatTrans β.toNatTrans with }
 #align category_theory.monoidal_nat_trans.vcomp CategoryTheory.MonoidalNatTrans.vcomp
+-/
 
+#print CategoryTheory.MonoidalNatTrans.categoryLaxMonoidalFunctor /-
 instance categoryLaxMonoidalFunctor : Category (LaxMonoidalFunctor C D)
     where
   Hom := MonoidalNatTrans
   id := id
   comp F G H α β := vcomp α β
 #align category_theory.monoidal_nat_trans.category_lax_monoidal_functor CategoryTheory.MonoidalNatTrans.categoryLaxMonoidalFunctor
+-/
 
+#print CategoryTheory.MonoidalNatTrans.comp_toNatTrans_lax /-
 @[simp]
 theorem comp_toNatTrans_lax {F G H : LaxMonoidalFunctor C D} {α : F ⟶ G} {β : G ⟶ H} :
     (α ≫ β).toNatTrans = @CategoryStruct.comp (C ⥤ D) _ _ _ _ α.toNatTrans β.toNatTrans :=
   rfl
 #align category_theory.monoidal_nat_trans.comp_to_nat_trans_lax CategoryTheory.MonoidalNatTrans.comp_toNatTrans_lax
+-/
 
+#print CategoryTheory.MonoidalNatTrans.categoryMonoidalFunctor /-
 instance categoryMonoidalFunctor : Category (MonoidalFunctor C D) :=
   InducedCategory.category MonoidalFunctor.toLaxMonoidalFunctor
 #align category_theory.monoidal_nat_trans.category_monoidal_functor CategoryTheory.MonoidalNatTrans.categoryMonoidalFunctor
+-/
 
+#print CategoryTheory.MonoidalNatTrans.comp_toNatTrans /-
 @[simp]
 theorem comp_toNatTrans {F G H : MonoidalFunctor C D} {α : F ⟶ G} {β : G ⟶ H} :
     (α ≫ β).toNatTrans = @CategoryStruct.comp (C ⥤ D) _ _ _ _ α.toNatTrans β.toNatTrans :=
   rfl
 #align category_theory.monoidal_nat_trans.comp_to_nat_trans CategoryTheory.MonoidalNatTrans.comp_toNatTrans
+-/
 
 variable {E : Type u₃} [Category.{v₃} E] [MonoidalCategory.{v₃} E]
 
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
+#print CategoryTheory.MonoidalNatTrans.hcomp /-
 /-- Horizontal composition of monoidal natural transformations.
 -/
 @[simps]
@@ -121,17 +136,20 @@ def hcomp {F G : LaxMonoidalFunctor C D} {H K : LaxMonoidalFunctor D E} (α : Mo
       dsimp; simp
       conv_lhs => rw [← K.to_functor.map_comp, α.tensor, K.to_functor.map_comp] }
 #align category_theory.monoidal_nat_trans.hcomp CategoryTheory.MonoidalNatTrans.hcomp
+-/
 
 section
 
 attribute [local simp] nat_trans.naturality monoidal_nat_trans.unit monoidal_nat_trans.tensor
 
+#print CategoryTheory.MonoidalNatTrans.prod /-
 /-- The cartesian product of two monoidal natural transformations is monoidal. -/
 @[simps]
 def prod {F G : LaxMonoidalFunctor C D} {H K : LaxMonoidalFunctor C E} (α : MonoidalNatTrans F G)
     (β : MonoidalNatTrans H K) : MonoidalNatTrans (F.prod' H) (G.prod' K)
     where app X := (α.app X, β.app X)
 #align category_theory.monoidal_nat_trans.prod CategoryTheory.MonoidalNatTrans.prod
+-/
 
 end
 
@@ -141,6 +159,12 @@ namespace MonoidalNatIso
 
 variable {F G : LaxMonoidalFunctor C D}
 
+/- warning: category_theory.monoidal_nat_iso.of_components -> CategoryTheory.MonoidalNatIso.ofComponents is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align category_theory.monoidal_nat_iso.of_components CategoryTheory.MonoidalNatIso.ofComponentsₓ'. -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 /-- Construct a monoidal natural isomorphism from object level isomorphisms,
@@ -166,17 +190,35 @@ def ofComponents (app : ∀ X : C, F.obj X ≅ G.obj X)
           tensor_id, id_comp] }
 #align category_theory.monoidal_nat_iso.of_components CategoryTheory.MonoidalNatIso.ofComponents
 
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+Case conversion may be inaccurate. Consider using '#align category_theory.monoidal_nat_iso.of_components.hom_app CategoryTheory.MonoidalNatIso.ofComponents.hom_appₓ'. -/
 @[simp]
 theorem ofComponents.hom_app (app : ∀ X : C, F.obj X ≅ G.obj X) (naturality) (unit) (tensor) (X) :
     (ofComponents app naturality Unit tensor).Hom.app X = (app X).Hom :=
   rfl
 #align category_theory.monoidal_nat_iso.of_components.hom_app CategoryTheory.MonoidalNatIso.ofComponents.hom_app
 
+/- warning: category_theory.monoidal_nat_iso.of_components.inv_app -> CategoryTheory.MonoidalNatIso.ofComponents.inv_app is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
+  forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u1, u3} C] [_inst_2 : CategoryTheory.MonoidalCategory.{u1, u3} C _inst_1] {D : Type.{u4}} [_inst_3 : CategoryTheory.Category.{u2, u4} D] [_inst_4 : CategoryTheory.MonoidalCategory.{u2, u4} D _inst_3] {F : CategoryTheory.LaxMonoidalFunctor.{u1, u2, u3, u4} C _inst_1 _inst_2 D _inst_3 _inst_4} {G : CategoryTheory.LaxMonoidalFunctor.{u1, u2, u3, u4} C _inst_1 _inst_2 D _inst_3 _inst_4} (app : forall (X : C), CategoryTheory.Iso.{u2, u4} D _inst_3 (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_3)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_3 (CategoryTheory.LaxMonoidalFunctor.toFunctor.{u1, u2, u3, u4} C _inst_1 _inst_2 D _inst_3 _inst_4 F)) X) (Prefunctor.obj.{succ u1, succ u2, 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(CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_3)) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_3)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_3 (CategoryTheory.LaxMonoidalFunctor.toFunctor.{u1, u2, u3, u4} C _inst_1 _inst_2 D _inst_3 _inst_4 G)) X) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_3)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_3 (CategoryTheory.LaxMonoidalFunctor.toFunctor.{u1, u2, u3, u4} C _inst_1 _inst_2 D _inst_3 _inst_4 F)) X)) (CategoryTheory.NatTrans.app.{u1, u2, u3, u4} C _inst_1 D _inst_3 (CategoryTheory.LaxMonoidalFunctor.toFunctor.{u1, u2, u3, u4} C _inst_1 _inst_2 D _inst_3 _inst_4 G) (CategoryTheory.LaxMonoidalFunctor.toFunctor.{u1, u2, u3, u4} C _inst_1 _inst_2 D _inst_3 _inst_4 F) (CategoryTheory.MonoidalNatTrans.toNatTrans.{u1, u2, u3, u4} C _inst_1 _inst_2 D _inst_3 _inst_4 G F (CategoryTheory.Iso.inv.{max u3 u2, max (max (max u3 u4) u1) u2} (CategoryTheory.LaxMonoidalFunctor.{u1, u2, u3, u4} C _inst_1 _inst_2 D _inst_3 _inst_4) (CategoryTheory.MonoidalNatTrans.categoryLaxMonoidalFunctor.{u1, u2, u3, u4} C _inst_1 _inst_2 D _inst_3 _inst_4) F G (CategoryTheory.MonoidalNatIso.ofComponents.{u1, u2, u3, u4} C _inst_1 _inst_2 D _inst_3 _inst_4 F G app naturality unit tensor))) X) (CategoryTheory.Iso.inv.{u2, u4} D _inst_3 (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_3)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_3 (CategoryTheory.LaxMonoidalFunctor.toFunctor.{u1, u2, u3, u4} C _inst_1 _inst_2 D _inst_3 _inst_4 F)) X) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_3)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_3 (CategoryTheory.LaxMonoidalFunctor.toFunctor.{u1, u2, u3, u4} C _inst_1 _inst_2 D _inst_3 _inst_4 G)) X) (app X))
+Case conversion may be inaccurate. Consider using '#align category_theory.monoidal_nat_iso.of_components.inv_app CategoryTheory.MonoidalNatIso.ofComponents.inv_appₓ'. -/
 @[simp]
 theorem ofComponents.inv_app (app : ∀ X : C, F.obj X ≅ G.obj X) (naturality) (unit) (tensor) (X) :
     (ofComponents app naturality Unit tensor).inv.app X = (app X).inv := by simp [of_components]
 #align category_theory.monoidal_nat_iso.of_components.inv_app CategoryTheory.MonoidalNatIso.ofComponents.inv_app
 
+/- warning: category_theory.monoidal_nat_iso.is_iso_of_is_iso_app -> CategoryTheory.MonoidalNatIso.isIso_of_isIso_app is a dubious translation:
+lean 3 declaration is
+  forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u1, u3} C] [_inst_2 : CategoryTheory.MonoidalCategory.{u1, u3} C _inst_1] {D : Type.{u4}} [_inst_3 : CategoryTheory.Category.{u2, u4} D] [_inst_4 : CategoryTheory.MonoidalCategory.{u2, u4} D _inst_3] {F : CategoryTheory.LaxMonoidalFunctor.{u1, u2, u3, u4} C _inst_1 _inst_2 D _inst_3 _inst_4} {G : CategoryTheory.LaxMonoidalFunctor.{u1, u2, u3, u4} C _inst_1 _inst_2 D _inst_3 _inst_4} (α : Quiver.Hom.{succ (max u3 u2), max u3 u4 u1 u2} (CategoryTheory.LaxMonoidalFunctor.{u1, u2, u3, u4} C _inst_1 _inst_2 D _inst_3 _inst_4) (CategoryTheory.CategoryStruct.toQuiver.{max u3 u2, max u3 u4 u1 u2} (CategoryTheory.LaxMonoidalFunctor.{u1, u2, u3, u4} C _inst_1 _inst_2 D _inst_3 _inst_4) (CategoryTheory.Category.toCategoryStruct.{max u3 u2, max u3 u4 u1 u2} (CategoryTheory.LaxMonoidalFunctor.{u1, u2, u3, u4} C _inst_1 _inst_2 D _inst_3 _inst_4) (CategoryTheory.MonoidalNatTrans.categoryLaxMonoidalFunctor.{u1, u2, u3, u4} C _inst_1 _inst_2 D _inst_3 _inst_4))) F G) [_inst_5 : forall (X : C), CategoryTheory.IsIso.{u2, u4} D _inst_3 (CategoryTheory.Functor.obj.{u1, u2, u3, u4} C _inst_1 D _inst_3 (CategoryTheory.LaxMonoidalFunctor.toFunctor.{u1, u2, u3, u4} C _inst_1 _inst_2 D _inst_3 _inst_4 F) X) (CategoryTheory.Functor.obj.{u1, u2, u3, u4} C _inst_1 D _inst_3 (CategoryTheory.LaxMonoidalFunctor.toFunctor.{u1, u2, u3, u4} C _inst_1 _inst_2 D _inst_3 _inst_4 G) X) (CategoryTheory.NatTrans.app.{u1, u2, u3, u4} C _inst_1 D _inst_3 (CategoryTheory.LaxMonoidalFunctor.toFunctor.{u1, u2, u3, u4} C _inst_1 _inst_2 D _inst_3 _inst_4 F) (CategoryTheory.LaxMonoidalFunctor.toFunctor.{u1, u2, u3, u4} C _inst_1 _inst_2 D _inst_3 _inst_4 G) (CategoryTheory.MonoidalNatTrans.toNatTrans.{u1, u2, u3, u4} C _inst_1 _inst_2 D _inst_3 _inst_4 F G α) X)], CategoryTheory.IsIso.{max u3 u2, max u3 u4 u1 u2} (CategoryTheory.LaxMonoidalFunctor.{u1, u2, u3, u4} C _inst_1 _inst_2 D _inst_3 _inst_4) (CategoryTheory.MonoidalNatTrans.categoryLaxMonoidalFunctor.{u1, u2, u3, u4} C _inst_1 _inst_2 D _inst_3 _inst_4) F G α
+but is expected to have type
+  forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u1, u3} C] [_inst_2 : CategoryTheory.MonoidalCategory.{u1, u3} C _inst_1] {D : Type.{u4}} [_inst_3 : CategoryTheory.Category.{u2, u4} D] [_inst_4 : CategoryTheory.MonoidalCategory.{u2, u4} D _inst_3] {F : CategoryTheory.LaxMonoidalFunctor.{u1, u2, u3, u4} C _inst_1 _inst_2 D _inst_3 _inst_4} {G : CategoryTheory.LaxMonoidalFunctor.{u1, u2, u3, u4} C _inst_1 _inst_2 D _inst_3 _inst_4} (α : Quiver.Hom.{max (succ u3) (succ u2), max (max (max u3 u4) u1) u2} (CategoryTheory.LaxMonoidalFunctor.{u1, u2, u3, u4} C _inst_1 _inst_2 D _inst_3 _inst_4) (CategoryTheory.CategoryStruct.toQuiver.{max u3 u2, max (max (max u3 u4) u1) u2} (CategoryTheory.LaxMonoidalFunctor.{u1, u2, u3, u4} C _inst_1 _inst_2 D _inst_3 _inst_4) (CategoryTheory.Category.toCategoryStruct.{max u3 u2, max (max (max u3 u4) u1) u2} (CategoryTheory.LaxMonoidalFunctor.{u1, u2, u3, u4} C _inst_1 _inst_2 D _inst_3 _inst_4) (CategoryTheory.MonoidalNatTrans.categoryLaxMonoidalFunctor.{u1, u2, u3, u4} C _inst_1 _inst_2 D _inst_3 _inst_4))) F G) [_inst_5 : forall (X : C), CategoryTheory.IsIso.{u2, u4} D _inst_3 (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_3)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_3 (CategoryTheory.LaxMonoidalFunctor.toFunctor.{u1, u2, u3, u4} C _inst_1 _inst_2 D _inst_3 _inst_4 F)) X) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_3)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_3 (CategoryTheory.LaxMonoidalFunctor.toFunctor.{u1, u2, u3, u4} C _inst_1 _inst_2 D _inst_3 _inst_4 G)) X) (CategoryTheory.NatTrans.app.{u1, u2, u3, u4} C _inst_1 D _inst_3 (CategoryTheory.LaxMonoidalFunctor.toFunctor.{u1, u2, u3, u4} C _inst_1 _inst_2 D _inst_3 _inst_4 F) (CategoryTheory.LaxMonoidalFunctor.toFunctor.{u1, u2, u3, u4} C _inst_1 _inst_2 D _inst_3 _inst_4 G) (CategoryTheory.MonoidalNatTrans.toNatTrans.{u1, u2, u3, u4} C _inst_1 _inst_2 D _inst_3 _inst_4 F G α) X)], CategoryTheory.IsIso.{max u3 u2, max (max (max u3 u4) u1) u2} (CategoryTheory.LaxMonoidalFunctor.{u1, u2, u3, u4} C _inst_1 _inst_2 D _inst_3 _inst_4) (CategoryTheory.MonoidalNatTrans.categoryLaxMonoidalFunctor.{u1, u2, u3, u4} C _inst_1 _inst_2 D _inst_3 _inst_4) F G α
+Case conversion may be inaccurate. Consider using '#align category_theory.monoidal_nat_iso.is_iso_of_is_iso_app CategoryTheory.MonoidalNatIso.isIso_of_isIso_appₓ'. -/
 instance isIso_of_isIso_app (α : F ⟶ G) [∀ X : C, IsIso (α.app X)] : IsIso α :=
   ⟨(IsIso.of_iso
         (ofComponents (fun X => asIso (α.app X)) (fun X Y f => α.toNatTrans.naturality f) α.Unit
@@ -188,6 +230,7 @@ end MonoidalNatIso
 noncomputable section
 
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
+#print CategoryTheory.monoidalUnit /-
 /-- The unit of a monoidal equivalence can be upgraded to a monoidal natural transformation. -/
 @[simps]
 def monoidalUnit (F : MonoidalFunctor C D) [IsEquivalence F.toFunctor] :
@@ -213,6 +256,7 @@ def monoidalUnit (F : MonoidalFunctor C D) [IsEquivalence F.toFunctor] :
         rw [tensor_id]
       simp }
 #align category_theory.monoidal_unit CategoryTheory.monoidalUnit
+-/
 
 instance (F : MonoidalFunctor C D) [IsEquivalence F.toFunctor] : IsIso (monoidalUnit F) :=
   haveI : ∀ X : C, is_iso ((monoidal_unit F).toNatTrans.app X) :=
@@ -223,6 +267,7 @@ instance (F : MonoidalFunctor C D) [IsEquivalence F.toFunctor] : IsIso (monoidal
   monoidal_nat_iso.is_iso_of_is_iso_app _
 
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
+#print CategoryTheory.monoidalCounit /-
 /-- The counit of a monoidal equivalence can be upgraded to a monoidal natural transformation. -/
 @[simps]
 def monoidalCounit (F : MonoidalFunctor C D) [IsEquivalence F.toFunctor] :
@@ -251,6 +296,7 @@ def monoidalCounit (F : MonoidalFunctor C D) [IsEquivalence F.toFunctor] :
       erw [iso.inv_hom_id_app]
       dsimp; simp; rfl }
 #align category_theory.monoidal_counit CategoryTheory.monoidalCounit
+-/
 
 instance (F : MonoidalFunctor C D) [IsEquivalence F.toFunctor] : IsIso (monoidalCounit F) :=
   haveI : ∀ X : D, is_iso ((monoidal_counit F).toNatTrans.app X) :=

d047eb46

bump to nightly-2023-02-21-16

mathlib commit https://github.com/leanprover-community/mathlib/commit/bd9851ca476957ea4549eb19b40e7b5ade9428cc

1107b979

Changes in mathlib4

mathlib3

mathlib4

d047eb46

chore(CategoryTheory): move Full, Faithful, EssSurj, IsEquivalence and ReflectsIsomorphisms to the Functor namespace (#11985)

These notions on functors are now Functor.Full, Functor.Faithful, Functor.EssSurj, Functor.IsEquivalence, Functor.ReflectsIsomorphisms. Deprecated aliases are introduced for the previous names.

65b7affc

Diff

@@ -181,7 +181,7 @@ noncomputable section
 
 /-- The unit of a monoidal equivalence can be upgraded to a monoidal natural transformation. -/
 @[simps! toNatTrans] -- Porting note: have to manually specify the toNatTrans projection
-def monoidalUnit (F : MonoidalFunctor C D) [IsEquivalence F.toFunctor] :
+def monoidalUnit (F : MonoidalFunctor C D) [F.IsEquivalence] :
     LaxMonoidalFunctor.id C ⟶ F.toLaxMonoidalFunctor ⊗⋙ (monoidalInverse F).toLaxMonoidalFunctor :=
   let e := F.toFunctor.asEquivalence
   { toNatTrans := e.unit
@@ -193,7 +193,7 @@ def monoidalUnit (F : MonoidalFunctor C D) [IsEquivalence F.toFunctor] :
       simp only [← Functor.map_comp, assoc]
       erw [e.counit_app_functor, e.counit_app_functor,
         F.toLaxMonoidalFunctor.μ_natural, IsIso.inv_hom_id_assoc]
-      simp only [CategoryTheory.IsEquivalence.inv_fun_map]
+      simp only [Functor.IsEquivalence.inv_fun_map]
       slice_rhs 2 3 => erw [Iso.hom_inv_id_app]
       dsimp
       simp only [CategoryTheory.Category.id_comp]
@@ -204,28 +204,29 @@ def monoidalUnit (F : MonoidalFunctor C D) [IsEquivalence F.toFunctor] :
       simp }
 #align category_theory.monoidal_unit CategoryTheory.monoidalUnit
 
-instance (F : MonoidalFunctor C D) [IsEquivalence F.toFunctor] : IsIso (monoidalUnit F) :=
+instance (F : MonoidalFunctor C D) [F.IsEquivalence] : IsIso (monoidalUnit F) :=
   haveI : ∀ X : C, IsIso ((monoidalUnit F).toNatTrans.app X) := by
     dsimp; infer_instance
   MonoidalNatIso.isIso_of_isIso_app _
 
 /-- The counit of a monoidal equivalence can be upgraded to a monoidal natural transformation. -/
 @[simps! toNatTrans] -- Porting note: have to manually specify the toNatTrans projection
-def monoidalCounit (F : MonoidalFunctor C D) [IsEquivalence F.toFunctor] :
+def monoidalCounit (F : MonoidalFunctor C D) [F.IsEquivalence] :
     (monoidalInverse F).toLaxMonoidalFunctor ⊗⋙ F.toLaxMonoidalFunctor ⟶ LaxMonoidalFunctor.id D :=
   let e := F.toFunctor.asEquivalence
   { toNatTrans := e.counit
     unit := by
       dsimp
       simp only [comp_id, assoc, Functor.map_inv, Functor.map_comp,
-        NatIso.inv_inv_app, IsIso.inv_comp, IsEquivalence.fun_inv_map, Adjunction.homEquiv_unit]
+        NatIso.inv_inv_app, IsIso.inv_comp, Functor.IsEquivalence.fun_inv_map,
+        Adjunction.homEquiv_unit]
       erw [e.counit_app_functor, ← e.functor.map_comp_assoc, Iso.hom_inv_id_app]
       dsimp; simp
     tensor := fun X Y => by
       dsimp
       simp only [Adjunction.homEquiv_unit, Adjunction.homEquiv_naturality_right, assoc,
         comp_id, Functor.map_comp]
-      simp only [IsEquivalence.fun_inv_map]
+      simp only [Functor.IsEquivalence.fun_inv_map]
       erw [e.counit_app_functor]
       simp only [assoc]
       erw [← e.functor.map_comp_assoc]
@@ -236,7 +237,7 @@ def monoidalCounit (F : MonoidalFunctor C D) [IsEquivalence F.toFunctor] :
       erw [comp_id] }
 #align category_theory.monoidal_counit CategoryTheory.monoidalCounit
 
-instance (F : MonoidalFunctor C D) [IsEquivalence F.toFunctor] : IsIso (monoidalCounit F) :=
+instance (F : MonoidalFunctor C D) [F.IsEquivalence] : IsIso (monoidalCounit F) :=
   haveI : ∀ X : D, IsIso ((monoidalCounit F).toNatTrans.app X) :=
     by dsimp; infer_instance
   MonoidalNatIso.isIso_of_isIso_app _

d047eb46

chore(CategoryTheory/Adjunction/Basic): missing dsimp lemmas (#7361)

4b23a873

Diff

@@ -233,8 +233,7 @@ def monoidalCounit (F : MonoidalFunctor C D) [IsEquivalence F.toFunctor] :
       erw [Iso.hom_inv_id_app, CategoryTheory.Functor.map_id]
       simp only [id_comp, CategoryTheory.Iso.inv_hom_id_app,
         CategoryTheory.IsIso.hom_inv_id_assoc]
-      erw [comp_id]
-      rfl }
+      erw [comp_id] }
 #align category_theory.monoidal_counit CategoryTheory.monoidalCounit
 
 instance (F : MonoidalFunctor C D) [IsEquivalence F.toFunctor] : IsIso (monoidalCounit F) :=

d047eb46

style: fix wrapping of where (#7149)

084cfb35

Diff

@@ -126,8 +126,8 @@ attribute [local simp] NatTrans.naturality MonoidalNatTrans.unit MonoidalNatTran
 /-- The cartesian product of two monoidal natural transformations is monoidal. -/
 @[simps]
 def prod {F G : LaxMonoidalFunctor C D} {H K : LaxMonoidalFunctor C E} (α : MonoidalNatTrans F G)
-    (β : MonoidalNatTrans H K) : MonoidalNatTrans (F.prod' H) (G.prod' K)
-    where app X := (α.app X, β.app X)
+    (β : MonoidalNatTrans H K) : MonoidalNatTrans (F.prod' H) (G.prod' K) where
+  app X := (α.app X, β.app X)
 #align category_theory.monoidal_nat_trans.prod CategoryTheory.MonoidalNatTrans.prod
 
 end

d047eb46

chore: cleanup some set_option commands (#6281)

Co-authored-by: Scott Morrison <scott.morrison@gmail.com>

865bd5b5

Diff

@@ -19,8 +19,6 @@ an additional compatibility relation with the tensorators:
 themselves form a category.
 -/
 
-set_option autoImplicit false
-
 open CategoryTheory
 
 universe v₁ v₂ v₃ u₁ u₂ u₃

d047eb46

chore: script to replace headers with #align_import statements (#5979)

depends on: #5966

Co-authored-by: Eric Wieser <wieser.eric@gmail.com> Co-authored-by: Scott Morrison <scott.morrison@gmail.com>

89aa3a3b

Diff

@@ -2,15 +2,12 @@
 Copyright (c) 2020 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
-
-! This file was ported from Lean 3 source module category_theory.monoidal.natural_transformation
-! leanprover-community/mathlib commit d047eb4671130d5998b185e49a0443a0d2e9b191
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.CategoryTheory.Monoidal.Functor
 import Mathlib.CategoryTheory.FullSubcategory
 
+#align_import category_theory.monoidal.natural_transformation from "leanprover-community/mathlib"@"d047eb4671130d5998b185e49a0443a0d2e9b191"
+
 /-!
 # Monoidal natural transformations

d047eb46

chore: remove occurrences of semicolon after space (#5713)

This is the second half of the changes originally in #5699, removing all occurrences of ; after a space and implementing a linter rule to enforce it.

In most cases this 2-character substring has a space after it, so the following command was run first:

find . -type f -name "*.lean" -exec sed -i -E 's/ ; /; /g' {} \;

The remaining cases were few enough in number that they were done manually.

c795bd35

Diff

@@ -211,7 +211,7 @@ def monoidalUnit (F : MonoidalFunctor C D) [IsEquivalence F.toFunctor] :
 
 instance (F : MonoidalFunctor C D) [IsEquivalence F.toFunctor] : IsIso (monoidalUnit F) :=
   haveI : ∀ X : C, IsIso ((monoidalUnit F).toNatTrans.app X) := by
-    dsimp ; infer_instance
+    dsimp; infer_instance
   MonoidalNatIso.isIso_of_isIso_app _
 
 /-- The counit of a monoidal equivalence can be upgraded to a monoidal natural transformation. -/
@@ -244,7 +244,7 @@ def monoidalCounit (F : MonoidalFunctor C D) [IsEquivalence F.toFunctor] :
 
 instance (F : MonoidalFunctor C D) [IsEquivalence F.toFunctor] : IsIso (monoidalCounit F) :=
   haveI : ∀ X : D, IsIso ((monoidalCounit F).toNatTrans.app X) :=
-    by dsimp ; infer_instance
+    by dsimp; infer_instance
   MonoidalNatIso.isIso_of_isIso_app _
 
 end

d047eb46

feat: port CategoryTheory.Monoidal.Mon_ (#4763)

Co-authored-by: Scott Morrison <scott.morrison@anu.edu.au>

e95a1363

Diff

@@ -98,6 +98,11 @@ instance categoryMonoidalFunctor : Category (MonoidalFunctor C D) :=
   InducedCategory.category MonoidalFunctor.toLaxMonoidalFunctor
 #align category_theory.monoidal_nat_trans.category_monoidal_functor CategoryTheory.MonoidalNatTrans.categoryMonoidalFunctor
 
+-- Porting note: added, as `MonoidalNatTrans.ext` does not apply to morphisms.
+@[ext]
+lemma ext' {F G : LaxMonoidalFunctor C D} {α β : F ⟶ G} (w : ∀ X : C, α.app X = β.app X) : α = β :=
+  MonoidalNatTrans.ext _ _ (funext w)
+
 @[simp]
 theorem comp_toNatTrans {F G H : MonoidalFunctor C D} {α : F ⟶ G} {β : G ⟶ H} :
     (α ≫ β).toNatTrans = @CategoryStruct.comp (C ⥤ D) _ _ _ _ α.toNatTrans β.toNatTrans :=
@@ -156,14 +161,6 @@ def ofComponents (app : ∀ X : C, F.obj X ≅ G.obj X)
       dsimp
       rw [Iso.comp_inv_eq, assoc, tensor', ← tensor_comp_assoc,
         Iso.inv_hom_id, Iso.inv_hom_id, tensor_id, id_comp] }
-  hom_inv_id := by
-    apply MonoidalNatTrans.ext
-    ext x
-    exact (app x).hom_inv_id
-  inv_hom_id := by
-    apply MonoidalNatTrans.ext
-    ext x
-    exact (app x).inv_hom_id
 #align category_theory.monoidal_nat_iso.of_components CategoryTheory.MonoidalNatIso.ofComponents
 
 @[simp]

d047eb46

chore: fix simps projections in CategoryTheory.Monad.Basic (#3269)

This fixes a regression of @[simps] to @[simp] from #2969, per zulip.

There are a few incidental changes to @[simps] arguments in this PR, just removing arguments that had no effect on behaviour.

Co-authored-by: Scott Morrison <scott.morrison@gmail.com>

12c8e4f9

Diff

@@ -57,6 +57,8 @@ structure MonoidalNatTrans (F G : LaxMonoidalFunctor C D) extends
 attribute [reassoc (attr := simp)] MonoidalNatTrans.tensor
 attribute [reassoc (attr := simp)] MonoidalNatTrans.unit
 
+initialize_simps_projections MonoidalNatTrans (+toNatTrans, -app)
+
 #align category_theory.monoidal_nat_trans.unit CategoryTheory.MonoidalNatTrans.unit
 #align category_theory.monoidal_nat_trans.unit_assoc CategoryTheory.MonoidalNatTrans.unit_assoc
 #align category_theory.monoidal_nat_trans.tensor CategoryTheory.MonoidalNatTrans.tensor

d047eb46

chore: tidy various files (#3110)

0bcbc985

Diff

@@ -39,8 +39,6 @@ open MonoidalCategory
 variable {C : Type u₁} [Category.{v₁} C] [MonoidalCategory.{v₁} C] {D : Type u₂} [Category.{v₂} D]
   [MonoidalCategory.{v₂} D]
 
-/- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
-/- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 /-- A monoidal natural transformation is a natural transformation between (lax) monoidal functors
 additionally satisfying:
 `F.μ X Y ≫ app (X ⊗ Y) = (app X ⊗ app Y) ≫ G.μ X Y`
@@ -82,8 +80,7 @@ def vcomp {F G H : LaxMonoidalFunctor C D} (α : MonoidalNatTrans F G) (β : Mon
   { NatTrans.vcomp α.toNatTrans β.toNatTrans with }
 #align category_theory.monoidal_nat_trans.vcomp CategoryTheory.MonoidalNatTrans.vcomp
 
-instance categoryLaxMonoidalFunctor : Category (LaxMonoidalFunctor C D)
-    where
+instance categoryLaxMonoidalFunctor : Category (LaxMonoidalFunctor C D) where
   Hom := MonoidalNatTrans
   id := id
   comp α β := vcomp α β
@@ -111,8 +108,7 @@ variable {E : Type u₃} [Category.{v₃} E] [MonoidalCategory.{v₃} E]
 @[simps]
 def hcomp {F G : LaxMonoidalFunctor C D} {H K : LaxMonoidalFunctor D E} (α : MonoidalNatTrans F G)
     (β : MonoidalNatTrans H K) : MonoidalNatTrans (F ⊗⋙ H) (G ⊗⋙ K) :=
-  { NatTrans.hcomp α.toNatTrans
-      β.toNatTrans with
+  { NatTrans.hcomp α.toNatTrans β.toNatTrans with
     unit := by
       dsimp; simp
       conv_lhs => rw [← K.toFunctor.map_comp, α.unit]
@@ -145,12 +141,11 @@ and the monoidal naturality in the forward direction. -/
 def ofComponents (app : ∀ X : C, F.obj X ≅ G.obj X)
     (naturality' : ∀ {X Y : C} (f : X ⟶ Y), F.map f ≫ (app Y).hom = (app X).hom ≫ G.map f)
     (unit' : F.ε ≫ (app (𝟙_ C)).hom = G.ε)
-    (tensor' : ∀ X Y, F.μ X Y ≫ (app (X ⊗ Y)).hom = ((app X).hom ⊗ (app Y).hom) ≫ G.μ X Y) : F ≅ G
-    where
+    (tensor' : ∀ X Y, F.μ X Y ≫ (app (X ⊗ Y)).hom = ((app X).hom ⊗ (app Y).hom) ≫ G.μ X Y) :
+    F ≅ G where
   hom := { app := fun X => (app X).hom }
   inv := {
-    (NatIso.ofComponents app
-        @naturality').inv with
+    (NatIso.ofComponents app @naturality').inv with
     app := fun X => (app X).inv
     unit := by
       dsimp

d047eb46

feat: Port CategoryTheory.Monoidal.NaturalTransformation (#2466)

Co-authored-by: Moritz Firsching <firsching@google.com> Co-authored-by: ChrisHughes24 <chrishughes24@gmail.com> Co-authored-by: Parcly Taxel <reddeloostw@gmail.com> Co-authored-by: Adam Topaz <adamtopaz@users.noreply.github.com>

429abcae

`category_theory.monoidal.natural_transformation` ⟷ `Mathlib.CategoryTheory.Monoidal.NaturalTransformation`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 18

category_theory.monoidal.natural_transformation ⟷ Mathlib.CategoryTheory.Monoidal.NaturalTransformation

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 18

`category_theory.monoidal.natural_transformation` ⟷ `Mathlib.CategoryTheory.Monoidal.NaturalTransformation`